TSTP Solution File: LCL638+1.001 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:11:50 EDT 2023
% Result : Theorem 5.94s 1.54s
% Output : Proof 7.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 20:53:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.63 ________ _____
% 0.20/0.63 ___ __ \_________(_)________________________________
% 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.63
% 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.63 (2023-06-19)
% 0.20/0.63
% 0.20/0.63 (c) Philipp Rümmer, 2009-2023
% 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.63 Amanda Stjerna.
% 0.20/0.63 Free software under BSD-3-Clause.
% 0.20/0.63
% 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.63
% 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.64 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.50/1.06 Prover 1: Preprocessing ...
% 2.50/1.06 Prover 4: Preprocessing ...
% 2.80/1.11 Prover 3: Preprocessing ...
% 2.80/1.11 Prover 0: Preprocessing ...
% 2.80/1.11 Prover 5: Preprocessing ...
% 2.80/1.11 Prover 6: Preprocessing ...
% 2.80/1.11 Prover 2: Preprocessing ...
% 2.99/1.26 Prover 2: Constructing countermodel ...
% 2.99/1.28 Prover 5: Constructing countermodel ...
% 3.81/1.34 Prover 1: Constructing countermodel ...
% 3.81/1.34 Prover 6: Proving ...
% 3.81/1.35 Prover 3: Constructing countermodel ...
% 4.63/1.38 Prover 4: Constructing countermodel ...
% 4.63/1.38 Prover 0: Proving ...
% 5.94/1.54 Prover 2: proved (888ms)
% 5.94/1.54
% 5.94/1.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.94/1.54
% 5.94/1.54 Prover 3: stopped
% 5.94/1.54 Prover 5: stopped
% 5.94/1.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.94/1.55 Prover 0: stopped
% 5.94/1.56 Prover 6: stopped
% 5.94/1.56 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.94/1.56 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.94/1.56 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.94/1.56 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.15/1.58 Prover 8: Preprocessing ...
% 6.15/1.59 Prover 7: Preprocessing ...
% 6.15/1.59 Prover 11: Preprocessing ...
% 6.15/1.60 Prover 10: Preprocessing ...
% 6.15/1.61 Prover 13: Preprocessing ...
% 6.15/1.62 Prover 7: Constructing countermodel ...
% 6.15/1.62 Prover 10: Constructing countermodel ...
% 6.64/1.65 Prover 13: Constructing countermodel ...
% 6.89/1.67 Prover 10: Found proof (size 13)
% 6.89/1.67 Prover 10: proved (118ms)
% 6.89/1.67 Prover 13: stopped
% 6.89/1.67 Prover 4: stopped
% 6.89/1.68 Prover 7: stopped
% 6.89/1.68 Prover 1: stopped
% 6.89/1.69 Prover 8: Warning: ignoring some quantifiers
% 6.89/1.69 Prover 8: Constructing countermodel ...
% 6.89/1.70 Prover 8: stopped
% 6.89/1.71 Prover 11: Constructing countermodel ...
% 6.89/1.71 Prover 11: stopped
% 6.89/1.71
% 6.89/1.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.89/1.71
% 6.89/1.71 % SZS output start Proof for theBenchmark
% 6.89/1.71 Assumptions after simplification:
% 6.89/1.71 ---------------------------------
% 6.89/1.71
% 6.89/1.71 (main)
% 6.89/1.73 ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & r1(v0, v1) & ~ p1(v1) & !
% 6.89/1.73 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 6.89/1.73 ~ r1(v3, v4) | ~ r1(v2, v3) | ~ r1(v0, v2) | p1(v4) | ? [v5: $i] :
% 6.89/1.73 ($i(v5) & r1(v2, v5) & ~ p1(v5))) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 6.89/1.73 $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ r1(v3, v4) | ~ r1(v2, v3) |
% 6.89/1.73 ~ r1(v0, v2) | ? [v5: $i] : ($i(v5) & ((p1(v5) & r1(v4, v5)) | (r1(v2,
% 6.89/1.73 v5) & ! [v6: $i] : ( ~ $i(v6) | ~ p1(v6) | ~ r1(v5, v6)))))) &
% 6.89/1.73 ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ p1(v2) | ~ r1(v2,
% 6.89/1.73 v3) | ~ r1(v0, v2) | ? [v4: $i] : ($i(v4) & p1(v4) & r1(v3, v4))) & !
% 6.89/1.73 [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ r1(v2, v3) | ~ r1(v0,
% 6.89/1.73 v2) | p1(v2) | ? [v4: $i] : ($i(v4) & r1(v3, v4) & ~ p1(v4))) & !
% 6.89/1.73 [v2: $i] : ( ~ $i(v2) | ~ r1(v1, v2) | p1(v2)) & ! [v2: $i] : ( ~ $i(v2) |
% 6.89/1.73 ~ r1(v0, v2) | ? [v3: $i] : ($i(v3) & r1(v2, v3))))
% 6.89/1.73
% 6.89/1.73 Those formulas are unsatisfiable:
% 6.89/1.73 ---------------------------------
% 6.89/1.73
% 6.89/1.73 Begin of proof
% 6.89/1.73 |
% 7.29/1.73 | DELTA: instantiating (main) with fresh symbols all_2_0, all_2_1 gives:
% 7.29/1.74 | (1) $i(all_2_0) & $i(all_2_1) & r1(all_2_1, all_2_0) & ~ p1(all_2_0) & !
% 7.29/1.74 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 7.29/1.74 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_1, v0) | p1(v2)
% 7.29/1.74 | | ? [v3: $i] : ($i(v3) & r1(v0, v3) & ~ p1(v3))) & ! [v0: $i] : !
% 7.29/1.74 | [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r1(v1,
% 7.29/1.74 | v2) | ~ r1(v0, v1) | ~ r1(all_2_1, v0) | ? [v3: $i] : ($i(v3) &
% 7.29/1.74 | ((p1(v3) & r1(v2, v3)) | (r1(v0, v3) & ! [v4: $i] : ( ~ $i(v4) |
% 7.29/1.74 | ~ p1(v4) | ~ r1(v3, v4)))))) & ! [v0: $i] : ! [v1: $i] : (
% 7.29/1.74 | ~ $i(v1) | ~ $i(v0) | ~ p1(v0) | ~ r1(v0, v1) | ~ r1(all_2_1, v0)
% 7.29/1.74 | | ? [v2: $i] : ($i(v2) & p1(v2) & r1(v1, v2))) & ! [v0: $i] : !
% 7.29/1.74 | [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~ r1(all_2_1, v0)
% 7.29/1.74 | | p1(v0) | ? [v2: $i] : ($i(v2) & r1(v1, v2) & ~ p1(v2))) & ! [v0:
% 7.29/1.74 | $i] : ( ~ $i(v0) | ~ r1(all_2_0, v0) | p1(v0)) & ! [v0: $i] : ( ~
% 7.29/1.74 | $i(v0) | ~ r1(all_2_1, v0) | ? [v1: $i] : ($i(v1) & r1(v0, v1)))
% 7.29/1.74 |
% 7.29/1.74 | ALPHA: (1) implies:
% 7.29/1.74 | (2) ~ p1(all_2_0)
% 7.29/1.74 | (3) r1(all_2_1, all_2_0)
% 7.29/1.74 | (4) $i(all_2_0)
% 7.29/1.74 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_1, v0) | ? [v1: $i] : ($i(v1) &
% 7.29/1.74 | r1(v0, v1)))
% 7.29/1.74 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ r1(all_2_0, v0) | p1(v0))
% 7.29/1.74 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1(v0, v1) | ~
% 7.29/1.74 | r1(all_2_1, v0) | p1(v0) | ? [v2: $i] : ($i(v2) & r1(v1, v2) & ~
% 7.29/1.74 | p1(v2)))
% 7.29/1.75 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 7.29/1.75 | $i(v0) | ~ r1(v1, v2) | ~ r1(v0, v1) | ~ r1(all_2_1, v0) | p1(v2)
% 7.29/1.75 | | ? [v3: $i] : ($i(v3) & r1(v0, v3) & ~ p1(v3)))
% 7.29/1.75 |
% 7.29/1.75 | GROUND_INST: instantiating (5) with all_2_0, simplifying with (3), (4) gives:
% 7.29/1.75 | (9) ? [v0: $i] : ($i(v0) & r1(all_2_0, v0))
% 7.29/1.75 |
% 7.29/1.75 | DELTA: instantiating (9) with fresh symbol all_10_0 gives:
% 7.29/1.75 | (10) $i(all_10_0) & r1(all_2_0, all_10_0)
% 7.29/1.75 |
% 7.29/1.75 | ALPHA: (10) implies:
% 7.29/1.75 | (11) r1(all_2_0, all_10_0)
% 7.29/1.75 | (12) $i(all_10_0)
% 7.29/1.75 |
% 7.29/1.75 | GROUND_INST: instantiating (7) with all_2_0, all_10_0, simplifying with (2),
% 7.29/1.75 | (3), (4), (11), (12) gives:
% 7.29/1.75 | (13) ? [v0: $i] : ($i(v0) & r1(all_10_0, v0) & ~ p1(v0))
% 7.29/1.75 |
% 7.29/1.75 | DELTA: instantiating (13) with fresh symbol all_18_0 gives:
% 7.29/1.75 | (14) $i(all_18_0) & r1(all_10_0, all_18_0) & ~ p1(all_18_0)
% 7.29/1.75 |
% 7.29/1.75 | ALPHA: (14) implies:
% 7.29/1.75 | (15) ~ p1(all_18_0)
% 7.29/1.75 | (16) r1(all_10_0, all_18_0)
% 7.29/1.75 | (17) $i(all_18_0)
% 7.29/1.75 |
% 7.29/1.75 | GROUND_INST: instantiating (8) with all_2_0, all_10_0, all_18_0, simplifying
% 7.29/1.75 | with (3), (4), (11), (12), (15), (16), (17) gives:
% 7.29/1.75 | (18) ? [v0: $i] : ($i(v0) & r1(all_2_0, v0) & ~ p1(v0))
% 7.29/1.75 |
% 7.29/1.75 | DELTA: instantiating (18) with fresh symbol all_25_0 gives:
% 7.29/1.75 | (19) $i(all_25_0) & r1(all_2_0, all_25_0) & ~ p1(all_25_0)
% 7.29/1.75 |
% 7.29/1.75 | ALPHA: (19) implies:
% 7.29/1.75 | (20) ~ p1(all_25_0)
% 7.29/1.75 | (21) r1(all_2_0, all_25_0)
% 7.29/1.75 | (22) $i(all_25_0)
% 7.29/1.75 |
% 7.29/1.75 | GROUND_INST: instantiating (6) with all_25_0, simplifying with (20), (21),
% 7.29/1.75 | (22) gives:
% 7.29/1.75 | (23) $false
% 7.29/1.75 |
% 7.29/1.75 | CLOSE: (23) is inconsistent.
% 7.29/1.75 |
% 7.29/1.75 End of proof
% 7.29/1.75 % SZS output end Proof for theBenchmark
% 7.29/1.75
% 7.29/1.75 1127ms
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